TY - JOUR
T1 - Spatiotemporal wave and soliton solutions to the generalized (3+1) -dimensional Gross-Pitaevskii equation
AU - Petrović, Nikola Z.
AU - Belić, Milivoj
AU - Zhong, Wei Ping
PY - 2010/1/20
Y1 - 2010/1/20
N2 - Exact extended traveling wave and spatiotemporal soliton solutions to the generalized (3+1) -dimensional Gross-Pitaevskii equation with time-dependent coefficients are obtained. The case with constant diffraction and parabolic potential strength, but with variable gain, is discussed in some detail. It is found that gain in the system is necessary for the appearance of stable solitons.
AB - Exact extended traveling wave and spatiotemporal soliton solutions to the generalized (3+1) -dimensional Gross-Pitaevskii equation with time-dependent coefficients are obtained. The case with constant diffraction and parabolic potential strength, but with variable gain, is discussed in some detail. It is found that gain in the system is necessary for the appearance of stable solitons.
UR - http://www.scopus.com/inward/record.url?scp=76149134343&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.81.016610
DO - 10.1103/PhysRevE.81.016610
M3 - Article
AN - SCOPUS:76149134343
SN - 1539-3755
VL - 81
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
IS - 1
M1 - 016610
ER -